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11313112320 = 28335327347
BaseRepresentation
bin10101000100101000…
…00110010100000000
31002012102121122121000
422202110012110000
5141132124043240
65110331132000
7550230603516
oct124224062400
932172548530
1011313112320
114885a58804
1222388a4000
1310b3a66803
147946d84b6
154632dd430
hex2a2506500

11313112320 has 144 divisors (see below), whose sum is σ = 40145958720. Its totient is φ = 3016820736.

The previous prime is 11313112271. The next prime is 11313112333. The reversal of 11313112320 is 2321131311.

11313112320 is a `hidden beast` number, since 1 + 1 + 31 + 311 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11313112293 and 11313112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129114 + ... + 198233.

It is an arithmetic number, because the mean of its divisors is an integer number (278791380).

Almost surely, 211313112320 is an apocalyptic number.

11313112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313112320 is an abundant number, since it is smaller than the sum of its proper divisors (28832846400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11313112320 is an equidigital number, since it uses as much as digits as its factorization.

11313112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327377 (or 327357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11313112320 its reverse (2321131311), we get a palindrome (13634243631).

The spelling of 11313112320 in words is "eleven billion, three hundred thirteen million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 327347 654694 982041 1309388 1636735 1964082 2618776 2946123 3273470 3928164 4910205 5237552 5892246 6546940 7856328 8838369 9820410 10475104 11784492 13093880 14730615 15712656 17676738 19640820 20950208 23568984 26187760 29461230 31425312 35353476 39281640 41900416 44191845 47137968 52375520 58922460 62850624 70706952 78563280 83800832 88383690 94275936 104751040 117844920 125701248 141413904 157126560 176767380 188551872 209502080 235689840 251402496 282827808 314253120 353534760 377103744 419004160 471379680 565655616 628506240 707069520 754207488 942759360 1131311232 1257012480 1414139040 1885518720 2262622464 2828278080 3771037440 5656556160 11313112320